Given that y= Acos3x + Bsin3x , where A and B are constants, show that d^2y/dx^2 + 9y =0

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  1. y" = -9Acos3x - 9Bsin3x
    it follows

    note that for any linear combination of sin(ax) and cos(ax)
    y" + a^2 y = 0

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